Search a number
-
+
144213455433501 = 32298326092551603
BaseRepresentation
bin100000110010100101001111…
…110010000110111100011101
3200220121200010122222202210200
4200302211033302012330131
5122400243124042333001
61230414425151454113
742243035602403256
oct4062451762067435
9626550118882720
10144213455433501
1141a50645a56393
121421164a527339
136261369379b6c
142787d7b74bb2d
1511a14c9d31086
hex83294fc86f1d

144213455433501 has 48 divisors (see below), whose sum is σ = 218171327774400. Its totient is φ = 91673466748416.

The previous prime is 144213455433449. The next prime is 144213455433533. The reversal of 144213455433501 is 105334554312441.

144213455433501 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 13 + 4 + 554 + 33 + 50 + 1 = 666.

144213455433501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144213455433501 - 27 = 144213455433373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144213455433571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55242966 + ... + 57794568.

It is an arithmetic number, because the mean of its divisors is an integer number (4545235995300).

Almost surely, 2144213455433501 is an apocalyptic number.

It is an amenable number.

144213455433501 is a deficient number, since it is larger than the sum of its proper divisors (73957872340899).

144213455433501 is a wasteful number, since it uses less digits than its factorization.

144213455433501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554330 (or 2554327 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 144213455433501 in words is "one hundred forty-four trillion, two hundred thirteen billion, four hundred fifty-five million, four hundred thirty-three thousand, five hundred one".

Divisors: 1 3 9 29 83 87 249 261 747 2407 2609 7221 7827 21663 23481 75661 216547 226983 649641 680949 1948923 2551603 6279863 7654809 18839589 22964427 56518767 73996487 211783049 221989461 635349147 665968383 1906047441 6141708421 6657132227 18425125263 19971396681 55275375789 59914190043 193056834583 552541974841 579170503749 1657625924523 1737511511247 4972877773569 16023717270389 48071151811167 144213455433501